Calculate the thermal-equilibrium electron and hole concentrations in germanium for a given doping concentration.
Consider a germanium sample at T=300 \mathrm{~K} in which N_{d}=2 \times 10^{14} \mathrm{~cm}^{-3} and N_{a}=0. Assume that n_{i}=2.4 \times 10^{13} \mathrm{~cm}^{-3}.